Colombo, Giulio; Pelegrín, José A. S.; Rigoli, Marco A note on spacelike hypersurfaces and timelike conformal vectors. (English) Zbl 1450.53021 Ortegon Gallego, Francisco (ed.) et al., Recent advances in pure and applied mathematics. Based on contributions presented at the Second Joint Meeting Spain-Brazil in Mathematics, Cádiz, Spain, December 11–14, 2018. Cham: Springer. RSME Springer Ser. 4, 135-147 (2020). MSC: 53A35 PDF BibTeX XML Cite \textit{G. Colombo} et al., RSME Springer Ser. 4, 135--147 (2020; Zbl 1450.53021) Full Text: DOI
Velásquez, Marco A. L.; de Lima, Henrique F. Complete spacelike hypersurfaces immersed in pp-wave spacetimes. (English) Zbl 1443.53036 Gen. Relativ. Gravitation 52, No. 4, Paper No. 41, 18 p. (2020). MSC: 53C42 53C50 35P15 PDF BibTeX XML Cite \textit{M. A. L. Velásquez} and \textit{H. F. de Lima}, Gen. Relativ. Gravitation 52, No. 4, Paper No. 41, 18 p. (2020; Zbl 1443.53036) Full Text: DOI
de Lima, Eudes L.; de Lima, Henrique F.; Ramalho, André F. A.; Velásquez, Marco A. L. Spacelike hypersurfaces immersed in weighted standard static spacetimes: uniqueness, nonexistence and stability. (English) Zbl 1439.53055 Result. Math. 75, No. 3, Paper No. 76, 31 p. (2020). MSC: 53C40 53C50 35P15 PDF BibTeX XML Cite \textit{E. L. de Lima} et al., Result. Math. 75, No. 3, Paper No. 76, 31 p. (2020; Zbl 1439.53055) Full Text: DOI
Aledo, Juan A.; Rubio, Rafael M.; Salamanca, Juan J. Space-like hypersurfaces with functionally bounded mean curvature in Lorentzian warped products and generalized Calabi-Bernstein-type problems. (English) Zbl 1439.53060 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 849-868 (2019). MSC: 53C42 35J60 53C50 PDF BibTeX XML Cite \textit{J. A. Aledo} et al., Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 4, 849--868 (2019; Zbl 1439.53060) Full Text: DOI
Galloway, Greg Existence of CMC Cauchy surfaces and spacetime splitting. (English) Zbl 1437.83014 Pure Appl. Math. Q. 15, No. 2, 667-682 (2019). Reviewer: Alex B. Gaina (Chisinau) MSC: 83C05 83C57 83C75 53C50 53Z05 83F05 PDF BibTeX XML Cite \textit{G. Galloway}, Pure Appl. Math. Q. 15, No. 2, 667--682 (2019; Zbl 1437.83014) Full Text: DOI
Aquino, Cícero P.; Batista, Márcio; de Lima, Henrique F. On the umbilicity of generalized linear Weingarten spacelike hypersurfaces in a Lorentzian space form. (English) Zbl 1414.53049 J. Geom. Phys. 137, 228-236 (2019). MSC: 53C42 53B30 53C50 53Z05 PDF BibTeX XML Cite \textit{C. P. Aquino} et al., J. Geom. Phys. 137, 228--236 (2019; Zbl 1414.53049) Full Text: DOI
Pacelli Bessa, G.; Pessoa, Leandro F.; Rigoli, Marco Higher order mean curvature estimates for properly immersed \(\phi _{h}\)-bounded hypersurfaces. (English) Zbl 1414.53055 Ann. Mat. Pura Appl. (4) 198, No. 1, 157-175 (2019). Reviewer: James Hebda (St. Louis) MSC: 53C42 53C21 PDF BibTeX XML Cite \textit{G. Pacelli Bessa} et al., Ann. Mat. Pura Appl. (4) 198, No. 1, 157--175 (2019; Zbl 1414.53055) Full Text: DOI
Li, Xingxiao; Chang, Xiufen Rigidity theorems of the space-like \(\lambda \)-hypersurfaces in the Lorentzian space \(\mathbb{R}_1^{n + 1}\). (English) Zbl 1413.53085 J. Math., Wuhan Univ. 38, No. 2, 253-268 (2018). MSC: 53C24 53C42 53C50 PDF BibTeX XML Cite \textit{X. Li} and \textit{X. Chang}, J. Math., Wuhan Univ. 38, No. 2, 253--268 (2018; Zbl 1413.53085) Full Text: DOI arXiv
Albujer, Alma L.; de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. \(\phi \)-parabolicity and the uniqueness of spacelike hypersurfaces immersed in a spatially weighted GRW spacetime. (English) Zbl 1394.53060 Mediterr. J. Math. 15, No. 3, Paper No. 84, 17 p. (2018). MSC: 53C40 53C42 35P15 53C50 PDF BibTeX XML Cite \textit{A. L. Albujer} et al., Mediterr. J. Math. 15, No. 3, Paper No. 84, 17 p. (2018; Zbl 1394.53060) Full Text: DOI
De Lima, Eudes L.; De Lima, Henrique F.; Aquino, Cícero P. Sharp height estimate in Lorentz-Minkowski space revisited. (English) Zbl 1391.53070 Bull. Belg. Math. Soc. - Simon Stevin 25, No. 1, 29-38 (2018). MSC: 53C42 53B30 PDF BibTeX XML Cite \textit{E. L. De Lima} et al., Bull. Belg. Math. Soc. - Simon Stevin 25, No. 1, 29--38 (2018; Zbl 1391.53070) Full Text: Euclid
de Lima, Henrique F.; dos Santos, Fábio R.; Araujo, Jogli G. Solutions to the maximal spacelike hypersurface equation in generalized Robertson-Walker spacetimes. (English) Zbl 1386.53077 Electron. J. Differ. Equ. 2018, Paper No. 80, 14 p. (2018). MSC: 53C42 53B30 53C50 53Z05 83C99 PDF BibTeX XML Cite \textit{H. F. de Lima} et al., Electron. J. Differ. Equ. 2018, Paper No. 80, 14 p. (2018; Zbl 1386.53077) Full Text: Link
Kröner, Heiko Inverse curvature flows in asymptotically Robertson Walker spaces. (English) Zbl 1387.53087 J. Differ. Equations 264, No. 7, 4303-4342 (2018). Reviewer: Gabor Etesi (Budapest) MSC: 53C44 53C50 PDF BibTeX XML Cite \textit{H. Kröner}, J. Differ. Equations 264, No. 7, 4303--4342 (2018; Zbl 1387.53087) Full Text: DOI
Alías, Luis; de Lima, Henrique F.; dos Santos, Fábio R. New characterizations of linear Weingarten spacelike hypersurfaces in the de Sitter space. (English) Zbl 1377.53077 Pac. J. Math. 292, No. 1, 1-19 (2018). MSC: 53C42 53A10 53C20 53C50 PDF BibTeX XML Cite \textit{L. Alías} et al., Pac. J. Math. 292, No. 1, 1--19 (2018; Zbl 1377.53077) Full Text: DOI
Alarcón, Eva M.; Albujer, Alma L.; Caballero, Magdalena Spacelike hypersurfaces in the Lorentz-Minkowski space with the same Riemannian and Lorentzian mean curvature. (English) Zbl 1402.53041 Cañadas-Pinedo, María A. (ed.) et al., Lorentzian geometry and related topics. GeLoMa 2016, Málaga, Spain, September 20–23, 2016. Cham: Springer (ISBN 978-3-319-66289-3/hbk; 978-3-319-66290-9/ebook). Springer Proceedings in Mathematics & Statistics 211, 1-12 (2017). MSC: 53C42 35J93 53C50 PDF BibTeX XML Cite \textit{E. M. Alarcón} et al., in: Lorentzian geometry and related topics. GeLoMa 2016, Málaga, Spain, September 20--23, 2016. Cham: Springer. 1--12 (2017; Zbl 1402.53041) Full Text: DOI
Aquino, C.; Baltazar, H.; de Lima, H. F. A new Calabi-Bernstein type result in spatially closed generalized Robertson-Walker spacetimes. (English) Zbl 1381.53098 Milan J. Math. 85, No. 2, 235-245 (2017). MSC: 53C42 53B30 53C50 53Z05 PDF BibTeX XML Cite \textit{C. Aquino} et al., Milan J. Math. 85, No. 2, 235--245 (2017; Zbl 1381.53098) Full Text: DOI
de Lima, Henrique F.; Oliveira, Arlandson M.; Santos, Márcio S.; Velásquez, Marco A. L. Bernstein type results for complete spacelike hypersurfaces immersed in a weighted conformally stationary spacetime. (English) Zbl 1384.53019 Int. J. Math. 28, No. 10, Article ID 1750071, 15 p. (2017). Reviewer: Fortuné Massamba (Pietermaritzburg) MSC: 53B25 35P15 53B30 PDF BibTeX XML Cite \textit{H. F. de Lima} et al., Int. J. Math. 28, No. 10, Article ID 1750071, 15 p. (2017; Zbl 1384.53019) Full Text: DOI
Aquino, Cícero P.; Araújo, Jogli G.; Batista, Márcio; de Lima, Henrique F. Uniqueness of spacelike hypersurfaces in a GRW spacetime via higher order mean curvatures. (English) Zbl 1372.53058 Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 45-61 (2017). MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{C. P. Aquino} et al., Bull. Braz. Math. Soc. (N.S.) 48, No. 1, 45--61 (2017; Zbl 1372.53058) Full Text: DOI
Shu, Shichang; Chen, Junfeng Conformal regular spacelike hypersurfaces in a conformal space \(\mathbb {Q}^{n+1}_1\). (English) Zbl 1362.53031 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 2, 447-463 (2017). MSC: 53B25 53B20 53A10 53C42 PDF BibTeX XML Cite \textit{S. Shu} and \textit{J. Chen}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 2, 447--463 (2017; Zbl 1362.53031) Full Text: DOI
Albujer, Alma L.; de Lima, Henrique F.; Oliveira, Arlandson M.; Velásquez, Marco Antonio L. Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes. (English) Zbl 1355.53051 Differ. Geom. Appl. 50, 140-154 (2017). MSC: 53C42 53A07 35P15 53C50 PDF BibTeX XML Cite \textit{A. L. Albujer} et al., Differ. Geom. Appl. 50, 140--154 (2017; Zbl 1355.53051) Full Text: DOI
de Lima, Eudes L.; de Lima, Henrique F.; Dos Santos, Fábio R. On the stability of \(f\)-maximal spacelike hypersurfaces in weighted generalized Robertson-Walker spacetimes. (English) Zbl 1373.53087 Bull. Pol. Acad. Sci., Math. 64, No. 2-3, 199-208 (2016). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{E. L. de Lima} et al., Bull. Pol. Acad. Sci., Math. 64, No. 2--3, 199--208 (2016; Zbl 1373.53087) Full Text: DOI
Liu, Jiancheng; Peng, Xiahuan A note on totally umbilical space-like hypersurfaces in non-flat pseudo-Riemannian space forms. (Chinese. English summary) Zbl 1363.53042 J. Lanzhou Univ. Technol. 42, No. 1, 149-150 (2016). MSC: 53C25 53C42 PDF BibTeX XML Cite \textit{J. Liu} and \textit{X. Peng}, J. Lanzhou Univ. Technol. 42, No. 1, 149--150 (2016; Zbl 1363.53042)
de Lima, Henrique F.; dos Santos, Fábio R.; Gomes, José N.; Velásquez, Marco Antonio L. On the complete spacelike hypersurfaces immersed with two distinct principal curvatures in a locally symmetric Lorentz space. (English) Zbl 1365.53053 Collect. Math. 67, No. 3, 379-397 (2016). Reviewer: Eduardo Hulett (Cordoba) MSC: 53C40 53C42 53C50 53C20 PDF BibTeX XML Cite \textit{H. F. de Lima} et al., Collect. Math. 67, No. 3, 379--397 (2016; Zbl 1365.53053) Full Text: DOI
de Lima, Henrique F.; Oliveira, Arlandson M. S.; Santos, Márcio S. Rigidity of complete spacelike hypersurfaces with constant weighted mean curvature. (English) Zbl 1356.53064 Beitr. Algebra Geom. 57, No. 3, 623-635 (2016). Reviewer: Viviana del Barco (Rosario) MSC: 53C42 53A07 53C50 35P15 PDF BibTeX XML Cite \textit{H. F. de Lima} et al., Beitr. Algebra Geom. 57, No. 3, 623--635 (2016; Zbl 1356.53064) Full Text: DOI
De Lima, Henrique F.; Lima, Eraldo A. jun. Entire spacelike \(H\)-graphs in Lorentzian product spaces. (English) Zbl 1344.53044 Publ. Mat., Barc. 60, No. 2, 273-287 (2016). MSC: 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{H. F. De Lima} and \textit{E. A. Lima jun.}, Publ. Mat., Barc. 60, No. 2, 273--287 (2016; Zbl 1344.53044) Full Text: DOI Euclid
Pashaie, Firooz; Mohammadpouri, Akram \(L_k\)-biharmonic hypersurfaces of Lorentz-Minkowski spaces. (English) Zbl 1349.53087 An. Univ. Oradea, Fasc. Mat. 23, No. 1, 171-176 (2016). MSC: 53C40 53C42 PDF BibTeX XML Cite \textit{F. Pashaie} and \textit{A. Mohammadpouri}, An. Univ. Oradea, Fasc. Mat. 23, No. 1, 171--176 (2016; Zbl 1349.53087)
Aquino, Cícero P.; De Lima, Henrique F.; Dos Santos, Fábio R. On the quadric CMC spacelike hypersurfaces in Lorentzian space forms. (English) Zbl 1352.53053 Colloq. Math. 145, No. 1, 89-98 (2016). MSC: 53C42 53B30 53C50 53Z05 83C99 PDF BibTeX XML Cite \textit{C. P. Aquino} et al., Colloq. Math. 145, No. 1, 89--98 (2016; Zbl 1352.53053) Full Text: DOI
Spruck, Joel; Xiao, Ling Entire downward translating solitons to the mean curvature flow in Minkowski space. (English) Zbl 1346.53062 Proc. Am. Math. Soc. 144, No. 8, 3517-3526 (2016). Reviewer: Viviana del Barco (Rosario) MSC: 53C44 35J62 53C50 PDF BibTeX XML Cite \textit{J. Spruck} and \textit{L. Xiao}, Proc. Am. Math. Soc. 144, No. 8, 3517--3526 (2016; Zbl 1346.53062) Full Text: DOI arXiv
Shu, Shichang; Chen, Junfeng Conformal isoparametric spacelike hypersurfaces in conformal space \(\mathbb Q^{n+1}_1\). (English) Zbl 1332.53075 Balkan J. Geom. Appl. 20, No. 2, 57-71 (2015). MSC: 53C40 53C50 53C30 PDF BibTeX XML Cite \textit{S. Shu} and \textit{J. Chen}, Balkan J. Geom. Appl. 20, No. 2, 57--71 (2015; Zbl 1332.53075) Full Text: EMIS
Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. Characterizations of spacelike hyperplanes in the steady state space via generalized maximum principles. (English) Zbl 1341.53082 Milan J. Math. 83, No. 2, 199-209 (2015). Reviewer: Raina Ivanova (Hilo) MSC: 53C40 53C50 PDF BibTeX XML Cite \textit{C. P. Aquino} et al., Milan J. Math. 83, No. 2, 199--209 (2015; Zbl 1341.53082) Full Text: DOI
Aquino, Cícero P.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. Spacelike hypersurfaces with constant \(r\)th mean curvature in steady state type spacetimes. (English) Zbl 1319.53060 J. Geom. 106, No. 1, 85-96 (2015). MSC: 53C42 53B30 53C50 53Z05 83C99 PDF BibTeX XML Cite \textit{C. P. Aquino} et al., J. Geom. 106, No. 1, 85--96 (2015; Zbl 1319.53060) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F.; Velásquez, Marco Antonio L. Characterizations of linear Weingarten spacelike hypersurfaces in Lorentz space forms. (English) Zbl 1314.53104 Rocky Mt. J. Math. 45, No. 1, 13-27 (2015). MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{C. P. Aquino} et al., Rocky Mt. J. Math. 45, No. 1, 13--27 (2015; Zbl 1314.53104) Full Text: DOI Euclid
Zhang, Shicheng Stability of spacelike hypersurfaces in de Sitter space. (English) Zbl 1307.53049 Proc. Am. Math. Soc. 143, No. 2, 851-857 (2015). MSC: 53C42 53A10 53C50 PDF BibTeX XML Cite \textit{S. Zhang}, Proc. Am. Math. Soc. 143, No. 2, 851--857 (2015; Zbl 1307.53049) Full Text: DOI
Gomes, José N.; de Lima, Henrique F.; dos Santos, Fábio R.; Velásquez, Marco Antonio L. On the complete linear Weingarten spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms. (English) Zbl 1311.53050 J. Math. Anal. Appl. 418, No. 1, 248-263 (2014). MSC: 53C40 53C30 53C50 PDF BibTeX XML Cite \textit{J. N. Gomes} et al., J. Math. Anal. Appl. 418, No. 1, 248--263 (2014; Zbl 1311.53050) Full Text: DOI
Aquino, Cícero P.; De Lima, Henrique F. On the umbilicity of complete constant mean curvature spacelike hypersurfaces. (English) Zbl 1307.53045 Math. Ann. 360, No. 3-4, 555-569 (2014). Reviewer: James Hebda (St. Louis) MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{C. P. Aquino} and \textit{H. F. De Lima}, Math. Ann. 360, No. 3--4, 555--569 (2014; Zbl 1307.53045) Full Text: DOI
Barros, Abdênago; Aquino, Cícero; de Lima, Henrique Complete CMC hypersurfaces in the hyperbolic space with prescribed Gauss mapping. (English) Zbl 1298.53049 Proc. Am. Math. Soc. 142, No. 10, 3597-3604 (2014). MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{A. Barros} et al., Proc. Am. Math. Soc. 142, No. 10, 3597--3604 (2014; Zbl 1298.53049) Full Text: DOI
Zhu, Y.; Hu, W. Spacelike hypersurfaces in anti-de Sitter space. (English) Zbl 1295.53060 Adv. Geom. 14, No. 3, 513-522 (2014). MSC: 53C40 53B30 PDF BibTeX XML Cite \textit{Y. Zhu} and \textit{W. Hu}, Adv. Geom. 14, No. 3, 513--522 (2014; Zbl 1295.53060) Full Text: DOI
de Lima, Henrique F.; Lima, Eraldo A. jun. Generalized maximum principles and the unicity of complete spacelike hypersurfaces immersed in a Lorentzian product space. (English) Zbl 1306.53056 Beitr. Algebra Geom. 55, No. 1, 59-75 (2014). Reviewer: Ivko Dimitric (Lemont Furnace) MSC: 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{H. F. de Lima} and \textit{E. A. Lima jun.}, Beitr. Algebra Geom. 55, No. 1, 59--75 (2014; Zbl 1306.53056) Full Text: DOI
Aledo, Juan A.; Romero, Alfonso; Rubio, Rafael M. Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems. (English) Zbl 1290.53061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 106, 57-69 (2014). MSC: 53C42 58J05 53C50 PDF BibTeX XML Cite \textit{J. A. Aledo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 106, 57--69 (2014; Zbl 1290.53061) Full Text: DOI arXiv
Han, Yingbo; Feng, Shuxiang On complete spacelike hypersurfaces in anti-de Sitter space \(H^{n+1}_1(-1)\). (English) Zbl 1340.53086 Acta Univ. Apulensis, Math. Inform. 34, 143-150 (2013). MSC: 53C42 53B30 PDF BibTeX XML Cite \textit{Y. Han} and \textit{S. Feng}, Acta Univ. Apulensis, Math. Inform. 34, 143--150 (2013; Zbl 1340.53086)
Tsyganok, Irina I.; Stepanov, Sergey E. On complete totally umbilical and maximal space-like surfaces in pseudo-Riemannian manifolds. (English) Zbl 1299.53138 Miskolc Math. Notes 14, No. 2, 613-620 (2013). MSC: 53C50 83C75 PDF BibTeX XML Cite \textit{I. I. Tsyganok} and \textit{S. E. Stepanov}, Miskolc Math. Notes 14, No. 2, 613--620 (2013; Zbl 1299.53138)
Zhu, Yecheng Spacelike hypersurfaces in de Sitter space. (English) Zbl 1284.53056 Balkan J. Geom. Appl. 18, No. 2, 90-99 (2013). MSC: 53C40 53C30 PDF BibTeX XML Cite \textit{Y. Zhu}, Balkan J. Geom. Appl. 18, No. 2, 90--99 (2013; Zbl 1284.53056) Full Text: EMIS
Sun, Zhongyang Partial generalizations of some conjectures in Lorentzian manifolds. (English) Zbl 1282.53050 Kodai Math. J. 36, No. 3, 508-526 (2013). MSC: 53C40 53C50 PDF BibTeX XML Cite \textit{Z. Sun}, Kodai Math. J. 36, No. 3, 508--526 (2013; Zbl 1282.53050) Full Text: DOI
De Lima, Henrique F.; De Lima, Joseílson R. Characterizations of linear Weingarten spacelike hypersurfaces in Einstein spacetimes. (English) Zbl 1275.53020 Glasg. Math. J. 55, No. 3, 567-579 (2013). Reviewer: José L. Flores (Málaga) MSC: 53B25 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{H. F. De Lima} and \textit{J. R. De Lima}, Glasg. Math. J. 55, No. 3, 567--579 (2013; Zbl 1275.53020) Full Text: DOI
de Lima, Henrique F.; Velásquez, Marco A. L. On the geometry of linear Weingarten spacelike hypersurfaces in the de Sitter space. (English) Zbl 1278.53068 Bull. Braz. Math. Soc. (N.S.) 44, No. 1, 49-65 (2013). Reviewer: Harold Parks (Corvallis) MSC: 53C42 53A10 53C50 PDF BibTeX XML Cite \textit{H. F. de Lima} and \textit{M. A. L. Velásquez}, Bull. Braz. Math. Soc. (N.S.) 44, No. 1, 49--65 (2013; Zbl 1278.53068) Full Text: DOI
De Lima, Henrique F.; De Lima, Joseílson R. Complete linear Weingarten spacelike hypersurfaces immersed in a locally symmetric Lorentz space. (English) Zbl 1270.53050 Result. Math. 63, No. 3-4, 865-876 (2013). MSC: 53B25 53B30 PDF BibTeX XML Cite \textit{H. F. De Lima} and \textit{J. R. De Lima}, Result. Math. 63, No. 3--4, 865--876 (2013; Zbl 1270.53050) Full Text: DOI
Huizhang, Yang; Xia, Sun Space-like hypersurfaces with vanishing conformal forms in the conformal space. (English) Zbl 1276.53019 Note Mat. 32, No. 2, 63-71 (2012). MSC: 53B25 53A30 PDF BibTeX XML Cite \textit{Y. Huizhang} and \textit{S. Xia}, Note Mat. 32, No. 2, 63--71 (2012; Zbl 1276.53019) Full Text: Link
de Lima, Henrique Fernandes On Bernstein-type properties of complete spacelike hypersurfaces immersed in a generalized Robertson-Walker spacetime. (English) Zbl 1271.53055 J. Geom. 103, No. 2, 219-229 (2012). Reviewer: Huafei Sun (Beijing) MSC: 53C40 53C50 PDF BibTeX XML Cite \textit{H. F. de Lima}, J. Geom. 103, No. 2, 219--229 (2012; Zbl 1271.53055) Full Text: DOI
Finster, Felix; Nardmann, Marc Some curvature problems in semi-Riemannian geometry. (English) Zbl 1252.53082 Bär, Christian (ed.) et al., Global differential geometry. Berlin: Springer (ISBN 978-3-642-22841-4/hbk; 978-3-642-22842-1/ebook). Springer Proceedings in Mathematics 17, 201-230 (2012). Reviewer: Ünver Çiftçi (Tekirdağ) MSC: 53C50 53C27 53C21 PDF BibTeX XML Cite \textit{F. Finster} and \textit{M. Nardmann}, Springer Proc. Math. 17, 201--230 (2012; Zbl 1252.53082) Full Text: DOI arXiv
Chaves, R. M. B.; Sousa, L. A. M. jun.; Valério, B. C. New characterizations for hyperbolic cylinders in anti-de Sitter spaces. (English) Zbl 1243.53016 J. Math. Anal. Appl. 393, No. 1, 166-176 (2012). MSC: 53B25 53B30 PDF BibTeX XML Cite \textit{R. M. B. Chaves} et al., J. Math. Anal. Appl. 393, No. 1, 166--176 (2012; Zbl 1243.53016) Full Text: DOI
Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. (English) Zbl 1247.53021 Rev. Mat. Iberoam. 28, No. 2, 371-400 (2012). Reviewer: R. Iordanescu (Bucureşti) MSC: 53B25 53A35 57R45 58C25 53B30 PDF BibTeX XML Cite \textit{M. Asayama} et al., Rev. Mat. Iberoam. 28, No. 2, 371--400 (2012; Zbl 1247.53021) Full Text: DOI
Izumiya, Shyuichi; Yildirim, Handan Slant geometry of spacelike hypersurfaces in the lightcone. (English) Zbl 1225.53020 J. Math. Soc. Japan 63, No. 3, 715-752 (2011). MSC: 53B30 58K99 53A35 PDF BibTeX XML Cite \textit{S. Izumiya} and \textit{H. Yildirim}, J. Math. Soc. Japan 63, No. 3, 715--752 (2011; Zbl 1225.53020) Full Text: DOI
Dong, Yuxin; Wei, Shihshu Walter On vanishing theorems for vector bundle valued \(p\)-forms and their applications. (English) Zbl 1225.58009 Commun. Math. Phys. 304, No. 2, 329-368 (2011). Reviewer: Cenap Özel (Bolu) MSC: 58E50 58E15 58E20 81T13 PDF BibTeX XML Cite \textit{Y. Dong} and \textit{S. W. Wei}, Commun. Math. Phys. 304, No. 2, 329--368 (2011; Zbl 1225.58009) Full Text: DOI arXiv
Camargo, F.; Caminha, A.; De Lima, H. Bernstein-type theorems in semi-Riemannian warped products. (English) Zbl 1223.53045 Proc. Am. Math. Soc. 139, No. 5, 1841-1850 (2011). Reviewer: Oscar J. Garay (Bilbao) MSC: 53C42 53C50 53Z05 PDF BibTeX XML Cite \textit{F. Camargo} et al., Proc. Am. Math. Soc. 139, No. 5, 1841--1850 (2011; Zbl 1223.53045) Full Text: DOI
Cao, Juanjuan Space-like hypersurfaces in locally symmetric Lorentz space. (Chinese. English summary) Zbl 1224.53097 Pure Appl. Math. 26, No. 2, 325-334 (2010). MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{J. Cao}, Pure Appl. Math. 26, No. 2, 325--334 (2010; Zbl 1224.53097)
Bray, Hubert L.; Khuri, Marcus A. A Jang equation approach to the Penrose inequality. (English) Zbl 1193.53169 Discrete Contin. Dyn. Syst. 27, No. 2, 741-766 (2010). Reviewer: Vladimir Balan (Bucureşti) MSC: 53C80 83C57 35Q75 PDF BibTeX XML Cite \textit{H. L. Bray} and \textit{M. A. Khuri}, Discrete Contin. Dyn. Syst. 27, No. 2, 741--766 (2010; Zbl 1193.53169) Full Text: DOI arXiv
Asperti, A. C.; Chaves, R. M. B.; Valério, B. C. Ruled Weingarten hypersurfaces in the Lorentz-Minkowski space and in de Sitter space. (English) Zbl 1187.53016 J. Geom. Phys. 60, No. 4, 553-561 (2010). MSC: 53B25 53C42 53C50 PDF BibTeX XML Cite \textit{A. C. Asperti} et al., J. Geom. Phys. 60, No. 4, 553--561 (2010; Zbl 1187.53016) Full Text: DOI
Zhang, Shicheng; Wu, Baoqiang Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces. (English) Zbl 1205.53073 J. Geom. Phys. 60, No. 2, 333-340 (2010). Reviewer: Kazim Ilarslan (Kirikkale) MSC: 53C50 53C42 53C40 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{B. Wu}, J. Geom. Phys. 60, No. 2, 333--340 (2010; Zbl 1205.53073) Full Text: DOI
Chen, YongFa Lower bounds for eigenvalues of the Dirac-Witten operator. (English) Zbl 1187.53050 Sci. China, Ser. A 52, No. 11, 2459-2468 (2009). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C27 53C40 53C80 83C60 PDF BibTeX XML Cite \textit{Y. Chen}, Sci. China, Ser. A 52, No. 11, 2459--2468 (2009; Zbl 1187.53050) Full Text: DOI
Izumiya, Shyuichi Legendrian dualities and spacelike hypersurfaces in the lightcone. (English) Zbl 1188.53055 Mosc. Math. J. 9, No. 2, 325-357 (2009). Reviewer: Ülo Lumiste (Tartu) MSC: 53C40 53A35 53C50 PDF BibTeX XML Cite \textit{S. Izumiya}, Mosc. Math. J. 9, No. 2, 325--357 (2009; Zbl 1188.53055) Full Text: Link
Abedin, Farhan; Corvino, Justin; Kapita, Shelvean; Wu, Haotian On isoperimetric surfaces in general relativity. II. (English) Zbl 1177.53064 J. Geom. Phys. 59, No. 11, 1453-1460 (2009). MSC: 53C50 53C21 PDF BibTeX XML Cite \textit{F. Abedin} et al., J. Geom. Phys. 59, No. 11, 1453--1460 (2009; Zbl 1177.53064) Full Text: DOI
Zhang, Xiao The positive mass theorem near null infinity. (English) Zbl 1168.53326 Lau, Ka-Sing (ed.) et al., Third international congress of Chinese mathematicians. Part 1. Proceedings of the ICCM ’04, Hong Kong, China, December 17–22, 2004. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4454-0/pbk; 978-0-8218-4416-8/set). AMS/IP Studies in Advanced Mathematics 42, 1, 423-432 (2008). MSC: 53C80 53C27 83C30 83C40 83C60 PDF BibTeX XML Cite \textit{X. Zhang}, AMS/IP Stud. Adv. Math. 42, 423--432 (2008; Zbl 1168.53326) Full Text: arXiv
Caminha, A.; de Lima, H. F. A generalized maximum principle for Yau’s square operator, with applications to the steady state space. (English) Zbl 1163.53033 Plaue, M. (ed.) et al., Advances in Lorentzian geometry. Aachen: Shaker Verlag (ISBN 978-3-8322-7786-4/pbk). 7-19 (2008). Reviewer: Constantin Călin (Iaşi) MSC: 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{A. Caminha} and \textit{H. F. de Lima}, in: Advances in Lorentzian geometry. Aachen: Shaker Verlag. 7--19 (2008; Zbl 1163.53033)
Colares, A. Gervasio; De Lima, Henrique F. Space-like hypersurfaces with positive constant \(r\) -mean curvature in Lorentzian product spaces. (English) Zbl 1152.83323 Gen. Relativ. Gravitation 40, No. 10, 2131-2147 (2008). MSC: 83C05 83E05 PDF BibTeX XML Cite \textit{A. G. Colares} and \textit{H. F. De Lima}, Gen. Relativ. Gravitation 40, No. 10, 2131--2147 (2008; Zbl 1152.83323) Full Text: DOI
Liu, Ximin; Yang, Biaogui Stable space-like hypersurfaces with constant scalar curvature in generalized Roberston-Walker spacetimes. (English) Zbl 1160.53029 Balkan J. Geom. Appl. 13, No. 1, 66-76 (2008). Reviewer: Marisa Fernandez (Bilbao) MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{X. Liu} and \textit{B. Yang}, Balkan J. Geom. Appl. 13, No. 1, 66--76 (2008; Zbl 1160.53029) Full Text: EuDML
de Lima, Henrique F. A sharp height estimate for compact spacelike hypersurfaces with constant \(r\)-mean curvature in the Lorentz-Minkowski space and application. (English) Zbl 1144.53080 Differ. Geom. Appl. 26, No. 4, 445-455 (2008). MSC: 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{H. F. de Lima}, Differ. Geom. Appl. 26, No. 4, 445--455 (2008; Zbl 1144.53080) Full Text: DOI
Xu, Senlin; Hu, Zisheng Integral formulas for compact space-like hypersurfaces in anti-de Sitter spacetime:applications to the case of constant higher order mean curvature. (Chinese. English summary) Zbl 1174.53325 Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 2, 302-308 (2007). MSC: 53C40 PDF BibTeX XML Cite \textit{S. Xu} and \textit{Z. Hu}, Acta Math. Sci., Ser. A, Chin. Ed. 27, No. 2, 302--308 (2007; Zbl 1174.53325)
Zhang, Shicheng; Wu, Baoqiang Complete space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces. (English) Zbl 1141.53067 Chin. Q. J. Math. 22, No. 2, 266-275 (2007). MSC: 53C50 53C42 53C40 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{B. Wu}, Chin. Q. J. Math. 22, No. 2, 266--275 (2007; Zbl 1141.53067)
Izumiya, Shyuichi; Takahashi, Masatomo Spacelike parallels and evolutes in Minkowski pseudo-spheres. (English) Zbl 1121.53036 J. Geom. Phys. 57, No. 8, 1569-1600 (2007). Reviewer: Serguey M. Pokas (Odessa) MSC: 53C40 53C50 57R45 58K99 53A35 PDF BibTeX XML Cite \textit{S. Izumiya} and \textit{M. Takahashi}, J. Geom. Phys. 57, No. 8, 1569--1600 (2007; Zbl 1121.53036) Full Text: DOI
de Lima, Henrique Fernandes Spacelike hypersurfaces with constant higher order mean curvature in de Sitter space. (English) Zbl 1111.53049 J. Geom. Phys. 57, No. 3, 967-975 (2007). Reviewer: Kazim Ilarslan (Kirikkale) MSC: 53C42 53B30 53C50 PDF BibTeX XML Cite \textit{H. F. de Lima}, J. Geom. Phys. 57, No. 3, 967--975 (2007; Zbl 1111.53049) Full Text: DOI
Li, Zhen-Qi; Xie, Xian-Hua Space-like isoparametric hypersurfaces in Lorentzian space forms. (English) Zbl 1222.53072 Front. Math. China 1, No. 1, 130-137 (2006); translation from J. Nanchang Univ. Natur. Sci. Ed. 28, No. 2, 113-117 (2004). MSC: 53C50 53B25 53C40 PDF BibTeX XML Cite \textit{Z.-Q. Li} and \textit{X.-H. Xie}, Front. Math. China 1, No. 1, 130--137 (2006; Zbl 1222.53072); translation from J. Nanchang Univ. Natur. Sci. Ed. 28, No. 2, 113--117 (2004) Full Text: DOI
Qadir, Asghar; Siddiqui, Azad A. Foliation of the Schwarzschild and Reissner–Nordström space–times by flat space-like hypersurfaces. (English) Zbl 1111.83003 Int. J. Mod. Phys. D 15, No. 9, 1419-1440 (2006). MSC: 83C05 83C57 83C10 PDF BibTeX XML Cite \textit{A. Qadir} and \textit{A. A. Siddiqui}, Int. J. Mod. Phys. D 15, No. 9, 1419--1440 (2006; Zbl 1111.83003) Full Text: DOI
Caminha, A. A rigidity theorem for complete CMC hypersurfaces in Lorentz manifolds. (English) Zbl 1107.53040 Differ. Geom. Appl. 24, No. 6, 652-659 (2006). MSC: 53C42 53C50 53Z05 83C99 PDF BibTeX XML Cite \textit{A. Caminha}, Differ. Geom. Appl. 24, No. 6, 652--659 (2006; Zbl 1107.53040) Full Text: DOI
Caminha, A. On spacelike hypersurfaces of constant sectional curvature Lorentz manifolds. (English) Zbl 1102.53044 J. Geom. Phys. 56, No. 7, 1144-1174 (2006). Reviewer: Bülent Ünal (Ankara) MSC: 53C42 53C99 PDF BibTeX XML Cite \textit{A. Caminha}, J. Geom. Phys. 56, No. 7, 1144--1174 (2006; Zbl 1102.53044) Full Text: DOI
Guan, Bo; Jian, Huai-Yu; Schoen, Richard M. Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space. (English) Zbl 1097.53040 J. Reine Angew. Math. 595, 167-188 (2006). Reviewer: Bülent Ünal (Ankara) MSC: 53C42 53B30 35J60 49Q10 53C50 PDF BibTeX XML Cite \textit{B. Guan} et al., J. Reine Angew. Math. 595, 167--188 (2006; Zbl 1097.53040) Full Text: DOI arXiv
Lv, Jinchi Compact space-like hypersurfaces in de Sitter space. (English) Zbl 1084.53049 Int. J. Math. Math. Sci. 2005, No. 13, 2053-2069 (2005). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C40 53C50 PDF BibTeX XML Cite \textit{J. Lv}, Int. J. Math. Math. Sci. 2005, No. 13, 2053--2069 (2005; Zbl 1084.53049) Full Text: DOI EuDML
Wang, Yue Space-like hypersurfaces with constant scalar curvature in de Sitter spaces. (Chinese. English summary) Zbl 1085.53054 J. Jilin Univ., Sci. 42, No. 4, 494-498 (2004). MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{Y. Wang}, J. Jilin Univ., Sci. 42, No. 4, 494--498 (2004; Zbl 1085.53054)
Suh, Young Jin Some Liouville type inequalities and its applications to geometric problems. (English) Zbl 0988.53030 Cheng, Qing-Ming (ed.), Differential geometry. Proceedings of the first international symposium, Josai University, Saitama, Japan, February 22-24, 2001. Saitama: Josai University, Graduate School of Science, Josai Math. Monogr. 3, 11-19 (2001). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 53C42 53C21 58J99 35R45 35B50 PDF BibTeX XML Cite \textit{Y. J. Suh}, in: Differential geometry. Proceedings of the first international symposium, Josai University, Saitama, Japan, February 22--24, 2001. Saitama: Josai University, Graduate School of Science. 11--19 (2001; Zbl 0988.53030)
Qadir, Asghar; Siddiqui, Azad A. \(K\) slicing the Schwarzschild and the Reissner-Nordström spacetimes. (English) Zbl 0952.83025 J. Math. Phys. 40, No. 11, 5883-5889 (1999). Reviewer: Krishan Lal Duggal (Windsor/Ontario) MSC: 83C57 83C15 PDF BibTeX XML Cite \textit{A. Qadir} and \textit{A. A. Siddiqui}, J. Math. Phys. 40, No. 11, 5883--5889 (1999; Zbl 0952.83025) Full Text: DOI
Stepanov, S. E.; Tsyganok, I. I. A vector field on Lorentzian manifold. (English. Russian original) Zbl 0835.53078 Russ. Math. 38, No. 3, 79-81 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 81-83 (1994). Reviewer: A.V.Borisov (Sofia) MSC: 53C50 53C12 PDF BibTeX XML Cite \textit{S. E. Stepanov} and \textit{I. I. Tsyganok}, Russ. Math. 38, No. 3, 1 (1994; Zbl 0835.53078); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 3 (382), 81--83 (1994)
Barbosa, João Lucas Marques; Oliker, Vladimir Spacelike hypersurfaces with constant mean curvature in Lorentz space. (English) Zbl 0852.53045 Mat. Contemp. 4, 27-44 (1993). MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{J. L. M. Barbosa} and \textit{V. Oliker}, Mat. Contemp. 4, 27--44 (1993; Zbl 0852.53045)
Crawford, P.; Moniz, P. Vargas Bianchi type III foliation of the de Sitter space. (English) Zbl 0789.53031 Int. J. Theor. Phys. 32, No. 5, 841-848 (1993). Reviewer: James Hebda (St. Louis) MSC: 53C30 53C40 83C20 PDF BibTeX XML Cite \textit{P. Crawford} and \textit{P. V. Moniz}, Int. J. Theor. Phys. 32, No. 5, 841--848 (1993; Zbl 0789.53031) Full Text: DOI
Aiyama, Reiko On the Gauss map of complete space-like hypersurfaces of constant mean curvature in Minkowski space. (English) Zbl 0782.53043 Tsukuba J. Math. 16, No. 2, 353-361 (1992). Reviewer: B.Opozda (Kraków) MSC: 53C40 53C50 PDF BibTeX XML Cite \textit{R. Aiyama}, Tsukuba J. Math. 16, No. 2, 353--361 (1992; Zbl 0782.53043) Full Text: DOI
Harris, Steven G. Regularity of spacelike hypersurfaces. (English) Zbl 0684.53045 Mathematical Relativity, Proc. Conf., Canberra/Aust. 1988, Proc. Cent. Math. Anal. Aust. Natl. Univ. 19, 120-124 (1989). Reviewer: Bernd Wegner MSC: 53C40 53C50 PDF BibTeX XML
Aiyama, Reiko; Kwon, Jung-Hwan; Nakagawa, Hisao Indefinite complex submanifolds of an indefinite complex space form. (English) Zbl 0668.53037 J. Ramanujan Math. Soc. 2, No. 1, 43-67 (1987). Reviewer: L.Vanhecke MSC: 53C40 53C50 53C55 PDF BibTeX XML Cite \textit{R. Aiyama} et al., J. Ramanujan Math. Soc. 2, No. 1, 43--67 (1987; Zbl 0668.53037)
Isenberg, James; Moncrief, Vincent The existence of constant mean curvature foliations of Gowdy 3-torus spacetimes. (English) Zbl 0526.57017 Commun. Math. Phys. 86, 485-493 (1982). MSC: 57R30 53C12 83C99 PDF BibTeX XML Cite \textit{J. Isenberg} and \textit{V. Moncrief}, Commun. Math. Phys. 86, 485--493 (1982; Zbl 0526.57017) Full Text: DOI
Szabo, L. Geometrodynamics of wormholes. (English) Zbl 0497.53062 Suppl. Rend. Circ. Mat. Palermo, II. Ser. 2, 267-273 (1982). MSC: 53C80 83E05 83C45 PDF BibTeX XML Cite \textit{L. Szabo}, Suppl. Rend. Circ. Mat. Palermo (2) 2, 267--273 (1982; Zbl 0497.53062)
Audounet, Jacques; Bancel, Daniel Sur l’existence des hypersurfaces lorentziennes à courbure donnée. (French) Zbl 0474.53049 C. R. Acad. Sci., Paris, Sér. I 293, 163-166 (1981). MSC: 53C40 53C50 PDF BibTeX XML Cite \textit{J. Audounet} and \textit{D. Bancel}, C. R. Acad. Sci., Paris, Sér. I 293, 163--166 (1981; Zbl 0474.53049)
Audounet, Jacques; Bancel, Daniel Sets with spatial boundary and existence of submanifolds with prescribed mean extrinsic curvature of a Lorentzian manifold. (English) Zbl 0474.53048 J. Math. Pures Appl., IX. Sér. 60, 267-283 (1981). MSC: 53C40 53C50 58E05 58J99 PDF BibTeX XML Cite \textit{J. Audounet} and \textit{D. Bancel}, J. Math. Pures Appl. (9) 60, 267--283 (1981; Zbl 0474.53048)
Luminet, Jean-Pierre Courbure scalaire intrinseque dans les espace-temps spatialement homothetiques. (French) Zbl 0391.53021 C. R. Acad. Sci., Paris, Sér. A 285, 821-824 (1977). MSC: 53C25 83C40 PDF BibTeX XML Cite \textit{J.-P. Luminet}, C. R. Acad. Sci., Paris, Sér. A 285, 821--824 (1977; Zbl 0391.53021)